Changes between Version 66 and Version 67 of u/erica/RoeSolver


Ignore:
Timestamp:
05/17/13 16:48:46 (12 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/RoeSolver

    v66 v67  
    143143}}}
    144144
    145 The results for the method are the following equations for the wave-speeds:
     145The derived expressions for the wave-speeds are as follows,
    146146
    147147{{{#!Latex
    … …  
    165165}}}
    166166
    167 along with their corresponding expressions for the rho, u, v, w, H, and a (listed in Toro, eqn. 11.118) that we would plug into these wave speeds and the above expressions for the eigenvalues and eigenvectors. These in turn would be used in the numerical flux for the Godunov method.
     167and the corresponding expressions for rho, u, v, w, H, and a that we would plug into these wave speeds and the above expressions for the eigenvalues and eigenvectors are listed in Toro, eqn. 11.118. These in turn would be used in the numerical flux for the Godunov method.
    168168
    169169Note in the above formalism, the following definition is used,
    … …  
    180180= A Sample Algorithm =
    181181
     1821. Compute the averages (tilde expressions in Toro, eqn. 11.118) for the various quantities
     1832. Compute the eigenvalues, eigenvectors, and wave speeds as functions of these averages
     1843. Compute the numerical flux given above formula
     185
    182186= Short-comings of the Roe Solver =
    183187